2100220201001 has 8 divisors (see below), whose sum is σ = 2262793991304. Its totient is φ = 1937791895040.

The previous prime is 2100220200979. The next prime is 2100220201007. The reversal of 2100220201001 is 1001020220012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 745975962601 + 1354244238400 = 863699^2 + 1163720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100220201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100220201007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36341096 + ... + 36398841.

It is an arithmetic number, because the mean of its divisors is an integer number (282849248913).

Almost surely, 2^{2100220201001} is an apocalyptic number.

It is an amenable number.

2100220201001 is a deficient number, since it is larger than the sum of its proper divisors (162573790303).

2100220201001 is a wasteful number, since it uses less digits than its factorization.

2100220201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742171.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100220201001 its reverse (1001020220012), we get a palindrome (3101240421013).

The spelling of 2100220201001 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred one thousand, one".